GCD of 678, 941, 689, 367 Calculator

Given Input numbers are 678, 941, 689, 367

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 678, 941, 689, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 941, 689, 367 is 1.

Therefore, GCD of numbers 678, 941, 689, 367 is 1

Given Input Data is 678, 941, 689, 367

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 941 is 941

Prime Factorization of 689 is 13 x 53

Prime Factorization of 367 is 367

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(678, 941) = 637998

GCD(678, 941) = ( 678 x 941 ) / 637998

GCD(678, 941) = 637998 / 637998

GCD(678, 941) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

GCD of 678, 941, 689, 367 is 1

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1. What is the GCD of 678, 941, 689, 367?

GCD of 678, 941, 689, 367 is 1

2. Where do I get the detailed procedure to find GCD of 678, 941, 689, 367?

You can find a detailed procedure to find GCD of 678, 941, 689, 367 on our page.

3. How to find GCD of 678, 941, 689, 367 on a calculator?

You can find the GCD of 678, 941, 689, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.